Which of the following statements are correct regarding dot product of vectors ?

Which of the following statements are correct regarding dot product of vectors ? 

1. Dot product is less than or equal to the product of magnitudes of two vectors. 

2. When two vectors are perpendicular to each other, then their dot product is non -zero. 

3. Dot product of two vectors is positive or negative depending whether the angle between the vectors is less than or greater than π/2

4. Dot product is equal to the product of one vector and the projection of the vector on the first one. Select the correct answer using the codes given below : 

(a) 1, 2 and 3 only (b) 1, 3 and 4 only (c) 1, 2 and 4 only (d) 2, 3 and 4 only
by

1 Answer

Answer :

Which of the following statements are correct regarding dot product of vectors ? 

1. Dot product is less than or equal to the product of magnitudes of two vectors. 

2. When two vectors are perpendicular to each other, then their dot product is non -zero. 

3. Dot product of two vectors is positive or negative depending whether the angle between the vectors is less than or greater than π/2

4. Dot product is equal to the product of one vector and the projection of the vector on the first one. Select the correct answer using the codes given below : 

(a) 1, 2 and 3 only (b) 1, 3 and 4 only (c) 1, 2 and 4 only (d) 2, 3 and 4 only

by

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